Develops Lagrange's equation of motion starting from the First Law of Thermodynamics, instead of using the traditional Hamilton's principle
Extensive treatment of the kinematic/structural analysis of machines and mechanisms, as well as the structural analysis of electrical/fluid/thermal networks
More than 125 worked examples that illustrate various aspects of modeling and simulating dynamic systems using a Lagrangian approach
Simulation results for various models developed using MATLAB
"Analytical System Dynamics: Modeling and Simulation" combines results from analytical mechanics and system dynamics to develop an approach to modeling constrained multidiscipline dynamic systems. This combination yields a modeling technique based on the energy method of Lagrange, which in turn, results in a set of differential-algebraic equations that are suitable for numerical integration. Using the modeling approach presented in this book enables one to model and simulate systems as diverse as a six-link, closed-loop mechanism or a transistor power amplifier.
A Unified System Representation.- Kinematics.- Lagrange´s Equation of Motion.- Constrained Systems.- Numerical Solution of ODEs and DAEs.- Dynamic System Analysis and Simulation.
Analytical System Dynamics: Modeling and Simulation combines results from analytical mechanics and system dynamics to develop an approach to modeling constrained multidiscipline dynamic systems. This combination yields a modeling technique based on the energy method of Lagrange, which in turn, results in a set of differential-algebraic equations that are suitable for numerical integration. Using the modeling approach presented in this book enables one to model and simulate systems as diverse as a six-link, closed-loop mechanism or a transistor power amplifier.
Drawing upon years of practical experience and using numerous examples and applications Brian Fabien discusses:
Lagrange's equation of motion starting with the First Law of Thermodynamics, rather than the traditional Hamilton's principle
Treatment of the kinematic/structural analysis of machines and mechanisms, as well as the structural analysis of electrical/fluid/thermal networks
Various aspects of modeling and simulating dynamic systems using a Lagrangian approach with more than 125 worked examples
Simulation results for various models developed using MATLAB
Analytical System Dynamics: Modeling and Simulation will be of interest to students, researchers and practicing engineers who wish to use a multidisciplinary approach to dynamic systems incorporating material and examples from electrical systems, fluid systems and mixed technology systems that carries the derivation of differential equations to a final form that can be used for simulation.
From the reviews:
"The textbook combines results from analytical mechanics and system dynamics to develop an approach to modeling constrained multidiscipline dynamic systems. ... Every chapter ends with a list of 15–30 problems for students. The book will be of interest to graduate students, researches and practicing engineers in multidiscipline dynamic systems described by ODE and DAE." (Sergei Georgievich Zhuravlev, Zentralblatt MATH, Vol. 1163, 2009)
"The recently published Analytical System Dynamics, by Professor Fabien ... is an excellent marriage of the traditional Analytical Mechanics and System Dynamics. Two major features make this book stand out from other advanced dynamics books. ... This book devotes more than one-third of its contents to numerical approaches and simulations of dynamic systems. ... Analytical System Dynamics is a textbook suitable for graduate-level, advanced dynamics courses of both modeling and simulation. ... it is a good complementary text for advanced dynamics.” (Zhuang Li, International Journal of Acoustics and Vibration, Vol. 14 (2), 2009)
"This book is aimed at teaching dynamic system modeling and simulation to seniors and first-year graduate students in engineering. The topics covered include a unified system representation, kinematics, Lagrange´s equation of motion, constrained systems, numerical solution of ODEs and DAEs, and dynamic system analysis and stimulation.” (IEEE Control Systems Magazine, Vol. 29, August, 2009)
This book offering a modeling technique based on Lagrange's energy method includes 125 worked examples. Using this technique enables one to model and simulate systems as diverse as a six-link, closed-loop mechanism or a transistor power amplifier.
A Unified System Representation.- Kinematics.- Lagrange's Equation of Motion.- Constrained Systems.- Numerical Solution of ODEs and DAEs.- Dynamic System Analysis and Simulation.
From the reviews:
"The textbook combines results from analytical mechanics and system dynamics to develop an approach to modeling constrained multidiscipline dynamic systems. ... Every chapter ends with a list of 15-30 problems for students. The book will be of interest to graduate students, researches and practicing engineers in multidiscipline dynamic systems described by ODE and DAE." (Sergei Georgievich Zhuravlev, Zentralblatt MATH, Vol. 1163, 2009)
"The recently published Analytical System Dynamics, by Professor Fabien ... is an excellent marriage of the traditional Analytical Mechanics and System Dynamics. Two major features make this book stand out from other advanced dynamics books. ... This book devotes more than one-third of its contents to numerical approaches and simulations of dynamic systems. ... Analytical System Dynamics is a textbook suitable for graduate-level, advanced dynamics courses of both modeling and simulation. ... it is a good complementary text for advanced dynamics." (Zhuang Li, International Journal of Acoustics and Vibration, Vol. 14 (2), 2009)
"This book is aimed at teaching dynamic system modeling and simulation to seniors and first-year graduate students in engineering. The topics covered include a unified system representation, kinematics, Lagrange's equation of motion, constrained systems, numerical solution of ODEs and DAEs, and dynamic system analysis and stimulation." (IEEE Control Systems Magazine, Vol. 29, August, 2009)
Inhaltsverzeichnis
A Unified System Representation.- Kinematics.- Lagrange¿s Equation of Motion.- Constrained Systems.- Numerical Solution of ODEs and DAEs.- Dynamic System Analysis and Simulation.
Klappentext
"Analytical System Dynamics: Modeling and Simulation" combines results from analytical mechanics and system dynamics to develop an approach to modeling constrained multidiscipline dynamic systems. This combination yields a modeling technique based on the energy method of Lagrange, which in turn, results in a set of differential-algebraic equations that are suitable for numerical integration. Using the modeling approach presented in this book enables one to model and simulate systems as diverse as a six-link, closed-loop mechanism or a transistor power amplifier.
Develops Lagrange's equation of motion starting from the First Law of Thermodynamics, instead of using the traditional Hamilton's principle
Extensive treatment of the kinematic/structural analysis of machines and mechanisms, as well as the structural analysis of electrical/fluid/thermal networks
More than 125 worked examples that illustrate various aspects of modeling and simulating dynamic systems using a Lagrangian approach
Simulation results for various models developed using MATLAB
